Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse

• Autorzy: José Bonet , Reinhold Meise
• Języki publikacji: EN

Abstrakty

EN

Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space $𝓔_{(ω)}(ℝ)$ of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on $𝓔_{(ω)} [a, b]$ for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on $𝓔_{(ω)}(ℝ)$.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 42A85: Convolution, factorization
• 30D60: Quasi-analytic and other classes of functions
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 184
• Numer: 1
• Strony: 49-77

Daty

wydano

2008

Twórcy

autor

José Bonet

• IMPA-UPV and Dpto. de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain

autor

Reinhold Meise

• Mathematisches Institut, Heinrich-Heine-Universität, Universitätsstrasse 1, 40225 Düsseldorf, Germany

Identyfikatory

DOI

10.4064/sm184-1-3